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81264288 = 2537120929
BaseRepresentation
bin1001101011111…
…11111010100000
312122220122122110
410311333322200
5131300424123
612021435320
72004510060
oct465777240
9178818573
1081264288
1141965076
122326bb40
1313ab39a1
14ab153a0
157203493
hex4d7fea0

81264288 has 48 divisors (see below), whose sum is σ = 243794880. Its totient is φ = 23218176.

The previous prime is 81264241. The next prime is 81264307. The reversal of 81264288 is 88246218.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59793 + ... + 61136.

It is an arithmetic number, because the mean of its divisors is an integer number (5079060).

Almost surely, 281264288 is an apocalyptic number.

It is an amenable number.

81264288 is an abundant number, since it is smaller than the sum of its proper divisors (162530592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81264288 is a wasteful number, since it uses less digits than its factorization.

81264288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120949 (or 120941 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 81264288 is about 9014.6707094602. The cubic root of 81264288 is about 433.1449395400.

The spelling of 81264288 in words is "eighty-one million, two hundred sixty-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 120929 241858 362787 483716 725574 846503 967432 1451148 1693006 1934864 2539509 2902296 3386012 3869728 5079018 5804592 6772024 10158036 11609184 13544048 20316072 27088096 40632144 81264288